From 481b58fe54a3f3068197d08517c38035789b07ae Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Mon, 23 Sep 2024 11:25:52 -0600 Subject: [PATCH] vault backup: 2024-09-23 11:25:52 --- education/math/MATH1060 (trig)/Identities.md | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1060 (trig)/Identities.md b/education/math/MATH1060 (trig)/Identities.md index 803e267..b11332e 100644 --- a/education/math/MATH1060 (trig)/Identities.md +++ b/education/math/MATH1060 (trig)/Identities.md @@ -44,4 +44,11 @@ If $sec\theta = -\frac{25}{7}$ and $0 < \theta < \pi$, find the values of the ot Using the trig identity $1 + tan^2\theta = cot^2\theta$, we can do this: $$ 1 + tan^2\theta = (-\frac{25}{7})^2 $$ -$25^2 \ No newline at end of file +Shuffling things around, we get this: +$$ tan^2\theta = \frac{625}{49} - 1 $$ + +Performing that subtraction gives us this: +$$ \frac{625}{49} - \frac{49}{49} = \frac{576}{49} = tan^2\theta $$ +You can get rid of the exponent: + +$$ \frac{576}{49} \ No newline at end of file